Commutative Property

Commutative is an algebra property that refers to moving stuff around. The Commutative property is changing the order of the operands doesn’t change the output. Commutative property is applicable for addition and multiplication, but not applicable for subtraction and division.

Commutative Property of Addition
Commutative property of addition is applicable for all type of numbers. Commutative property of addition for two real numbers a, b is given below,

a + b = b + a

Commutative Property of Multiplication
Commutative property of multiplication for two real numbers a, b is given below,

a $\times$ b = b $\times$ a

Commutative Property Examples

Question 1: Prove that 5 + 3 = 3 + 5 is true?

Solution
Given, 5 + 3 = 3 + 5
L.H.S.
5 + 3 = 8
R.H.S.
3 + 5 = 8
L.H.S = R.H.S
Hence, Commutative property for 5 + 3 = 3 + 5 is true.

Question 2: Is 5 $\times$ 3 = 3 $\times$ 5 satisfy the commutative property of multiplication?

Solution
Given, 5 $\times$ 3 = 3 $\times$ 5
L.H.S.
5 $\times$ 3 = 15
R.H.S.
3 $\times$ 5 = 15
L.H.S = R.H.S
Hence, Commutative property of multiplication for 5 $\times$ 3 = 3 $\times$ 5 is true.


Practise This Question

The threshold frequency ν0 for a metal is 7.0 × 1014 s1. Calculate the kinetic energy of an electron emitted when radiation of frequency ν = 1.0 × 1015 s1